{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 项目背景\n",
    "如果在波涛汹涌，喜怒无常的大海上发生沉船事件，该如何提高自己的生存概率？  \n",
    "下面以titanic沉船数据为例，简单分析存活率。   \n",
    "\n",
    "影响乘客存活率因素很多，但本文只是简单分析。将仅分析性别、等级、船票3个因素对存活率的影响。\n",
    "- 性别是否影响存活率？若有影响，影响有多大？\n",
    "- 等级是否影响存活率？若有影响，影响有多大？  \n",
    "- 船票是否影响存活率？若有影响，影响有多大？\n",
    "\n",
    "下面以性别、等级、船票为自变量，存活率为因变量进行分析"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据分析\n",
    "### 数据载入\n",
    "\n",
    "下面是数据载入代码。可以查看数据大概信息：\n",
    "- 总共有891条记录，12个字段\n",
    "- 有177条记录缺失年龄\n",
    "- 有687条记录缺失Cabin\n",
    "- 有2条记录缺失Embarked"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "# -- coding: utf-8 --\n",
    "# 1 数据读入\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "sns.set()  \n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = \"retina\"\n",
    "\n",
    "titanic_df = pd.read_csv(\"titanic_data.csv\")\n",
    "# print len(titanic_df)\n",
    "# titanic_df.head()\n",
    "# print titanic_df.head()\n",
    "# print \"=====\"\n",
    "# print titanic_df.info()\n",
    "# print \"=====\"\n",
    "# print titanic_df.describe()\n",
    "# print \"origin.len:\",len(titanic_df)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 数据整理\n",
    "- 本文关注的3个因变量并无缺失情况\n",
    "- Embarked，Cabin，Age列有数据缺失，可能会影响计算结果，且本文中并不关注这3列，丢弃该列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "# drop NaN\n",
    "titanic_df.drop(['Age', 'Cabin', 'Embarked'], axis=1, inplace=True)\n",
    "# 处理原则：尽量将字符型数据转换为可计算的整形数据；去除无法计算的NaN数据（或做数据填充？），避免影响后续计算\n",
    "# 列Sex做数据转换 male -> 1, female -> 0\n",
    "# titanic_df.replace(to_replace={\"Sex\":{\"male\":1, \"female\":0}}, inplace=True)\n",
    "# 数据中，Name, Cabin, Embarked, Ticket,未找到合适的转换方法，暂且直接删除这些列，避免影响后续的计算\n",
    "# print titanic_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_var_survived(independent_var):\n",
    "    colum = independent_var\n",
    "    plt.figure(figsize = (6,6))\n",
    "    titanic_df.groupby(colum)[colum].count().plot(kind='pie', autopct='%.0f%%')\n",
    "    plt.title('Total percent of {}'.format(colum))\n",
    "\n",
    "    # print titanic_df.groupby('Sex').sum().head(n=2)\n",
    "    plt.figure(figsize = (6,5))\n",
    "    survived_rate = (titanic_df.groupby(colum).sum()/titanic_df.groupby(colum).count())['Survived']\n",
    "    survived_rate.plot(kind='bar')\n",
    "    plt.title('Survived percent of {}'.format(colum))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 性别对存活率影响\n",
    "- 所有人员中，女性占比35%，男性65%\n",
    "- 女性存活人员比例约为73%，男性存活人员比例约为19%\n",
    "\n",
    "结论：\n",
    "- 女性存活率是男性多3倍还多"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "data": {
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sJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCWKwlSZKkAlisJUmSpAJYrCVJkqQCdKQOIEmSplYI4Q3AR4GDgEeB02OMNyYNNYYQwiHArUAlxvjSxHGkXbJYS5LUQkIIS4B/AdYA/whsA25PGkpqEhZrSZJay9PJp4J+Mcb4J6nDSM3EOdaSJLWW7trtqqQppCbkiLUkSS0ihHAbcHDt08+HED4PfDzG+OchhOOAPwXOAKYDEfgy8JUYY3W717gJeC/w18DpwEbgR7X75gGfA84GNgE/B94TY1w16jU6gT8EXgMsAaYB9wI/Az4WY3xwF19HF1AGfh84jHxayy9qz71lt78xUkEs1pJUp0rlSht5SZkHdAGdo2739GMYWDvGx2Pbfz400Ds8BV+mptbfAmcBvcD/ABcAvwohvAD4CbAZ+DHwAHkx/hJwHPC27V7nUGBl7flfAl5QO2Y+cAJwH/BPwGnAa4EZwMtGPf+7wCuA39SO6wGeB/wB8Izaa4ypVsp/BjwLuAj4ArA30AecHUJYEWO8Zne+KVJRsmq1uuujJEmFKJUrC4D9ah+LyAvBXsACYGHtY+Sf55F2yt4mnlq4Rz5WA3cDdwB31m7vGBroXZMmqsartiLIvwLvjTH+bQhhOnAbUAVOijHeVjuuDRgEXgm8KMb4X7X7byMf9f67GON7avfNJX8/TAd+ALwqxlgNIbQD1wNHADNijOtDCCcD5wPfjjH+3qhcHcBlwNFAiDHeMNaqICGEDwCfBT4bY/zgqOcfD5wHXBFjPLHI75k0Xo5YS1JBSuVKO/mfpY8CAnAITxTo/YB9eWJ+ayPorn0sHO8TSuXKGp4o2mPd3jk00Lu5+KiagJeQ/3L3gZFSDRBj3BZC+DB5sX4j8F/bPe/zo459NIRwLXA88LmRqSMxxuEQwqXkxfpg4DrgLuANwLmjXyzGuDWE8BvyYr03cMMO8r6ZfInAj273/EtCCN8HXhtCWBZj/O24vwNSQSzWkrSbSuXKTPLyPPKxpHZ7BPlUjVY2G1hW+xhLtVSu3M+oUW7yEc0rgauHBnrXT0lKjfaMkdsQwp+P8fgw+Uoio22JMW6/RN+62u2t292/sXbbDRBjvAv4RgihozavOwCHA8cCz6kd2z5W0BDCzNrx9wF/EkLY/pB9a7dPByzWmnIWa0nagVK5sj9PLs4jH/unzNXgMvLysy9PnUe7rVSu3Ehesh//GBrovWtqI7acubXbV+/kmPnbfb6zX4A27eqEIYQ/IL9QclHtrkfJ52tfB5xE/j4Zy5za7b7An+3kFNvnlaaExVpSy6tdJLgcOJX8f+rLyUfFZqXM1YLayL/vgfxCNABK5cpDwFXAFTxRuK91Sklh1tZunx1j/OVknyyE8Dvkq41cRb4yyGUxxjtrj32J/N/BHRnJem6M8cxJDSrtAYu1pJZTKldmAyeTF+mRMj07aSjtzALgmbWPEVtK5crIFJKRj4uGBnpXJ8jX6K6q3R4PPKlYhxDmk48sXxJj/FZB5/vdkdsx5kEvqd2OOWIdY1wdQrgDWBZCmBZj3LBd3teRX+fw9dHzxaWpYrGW1PRK5coRPFGiTyWf/+sGWY2tk/wit6OBkZUlhkvlyuXA/9U+zh0a6F27g+frCT8hX4bvgyGEf48xjr5o8LPkFwt+vMDzjcy53odR86BrpXhF7dPOnTz/6+Rl/9MhhPfGGLfVnr+UfOk9yNfRlqacxVpSUymVKz3kI28jJfoU8hUG1PzayX/2xwMfALaWypWLeaJorxwa6N2wk+e3pNqKHm8BvgNcHkL4CXAPeck9EbgY+JsCT/kt8vncPwkhfJd8c5cTa+d7gPzf1wU7ef6ngecD7wLOCCH8inye+O+Qr5f92hijyz4qCYu1pIZWKlc6yHeKe2Ht9lhcmUO5DvJfrE4BPgJsLpUrF/BE0b5gaKB3lxfatYIY4w9CCHcBHybf7GVkbeu/BP4mxljYyH+M8T9DCK8GPkj+14b1wC3AO8jXt76M/N/n7+7g+RtCCM8k/+Xp1eTztFeTb1jzqRjjOUVllXaXG8RIajilcmU++f94X0y+O9ycnT9DGtMG8g1FRor2RUMDvVvTRpLUyCzWkhpCqVxZApRqH6ewg3VupQlYS77F9k+BHw8N9N6bOI+kBmOxllSXSuVKJ/mcyxfXPg5Pm0gtZhv5aPYPgR+5lrak8bBYS6obpXJlIfkUjxLwPFwCT/WhClxIXrJ/ODTQu/2Og5IEWKwlJVYqV44EXkFepk/GZfBU/y7hiZJ9c+owkuqHxVrSlCuVK3OAVwFvIJ8vLTWqK8hL9g+GBnpv2NXBkpqbxVrSlKhtG/5c8jL9UqAnaSCpeNfwxEj29jsKSmoBFmtJk6pUrgTyMv37wP5p00hT5rfAV4FvDA30Ppo6jKSpYbGWVLhSuTKXfOOGNwAnpU0jJbUBGAS+PDTQe2HqMJIml8VaUiFK5Uo7+Uoerwd6caqHtL0rgK8A3xoa6C1sJ0NJ9cNiLWlCahu3vIF8a+JFadNIDeEx4Dvko9hXpA4jqTgWa0m7rXYh4suA9wGnJo4jNbKLgC8D3xsa6N2QOoykibFYSxq3UrkyHXgj8F7cCVEq0qPAv5GPYl+bOoykPWOxlrRLpXJlb+CPgH5gQeI4UrM7l3wU+0dDA72bUoeRNH4Wa0k7VCpXjgLK5POnvRhRmloPAn8HfNEl+6TGYLGW9BSlcmUF8H7gRUCWOI7U6taQj2B/fmig977UYSTtmMVaEvD4cnmvJB+hPiFxHElPtRH4OvDZoYHeWxNnkTQGi7XU4krlygzgzcB7gEMTx5G0a8Pkm858emig9+rUYSQ9wWIttajaBYnvAd4OzEscR9LuqwIV4M+HBnqvTB1GksVaajmlcmUW+fzp9wEzE8eRNHFV4N/JC/ZVqcNIrcxiLbWIUrnSRT46/SfAXonjSCpeFfgJ8HELtpSGxVpqcqVyJQNeA/wlcFjiOJImXxX4MXnBdg62NIUs1lITK5Urzwc+BRybOoukKVcFvgd8cGig987UYaRWYLGWmlCpXDke+DTw7NRZJCW3Afgs+TJ961OHkZqZxVpqIqVy5QjgE8Dv4MYukp7sLvLR6++kDiI1K4u11ARK5co+wJ8BbwE6E8eRVN/OB949NNB7ceogUrOxWEsNrLZ03gfIl86bkTiOpMZRBf4N+PDQQO89qcNIzcJiLTWgUrnSBvwB8HFcOk/SnltHfoHzwNBA78bUYaRGZ7GWGkypXDka+CpwUuoskprGbcAHhgZ6f5g6iNTILNZSgyiVK9PI51GXgY7EcSQ1p3OA9wwN9F6ROojUiCzWUgMolSvPBb6MG7xImnzbgK8BHx0a6H0gdRipkVispTpWKlf2Aj4PvDZ1FkktZw3wMeAfhgZ6LQvSOFispTpVKlfeBPw1MD91Fkkt7dfAm4YGem9OHUSqdxZrqc6UypXFwFeAsxJHkaQR64APAV909FraMYu1VCdK5UoX+f+4PgJ0J44jSWP5Ffno9a2pg0j1yGIt1YFSuXI68E/AktRZJGkX1gJ/DHzZ0WvpySzWUkKlcmUu8FnyrcizxHEkaXf8L/DmoYHe21MHkepFW+oAUqsqlSsl4HrgrViqJTWeZwNXl8qVP0gdRKoXjlhLU6y20csA0J86iyQV5BfAW4YGeu9IHURKyWItTaFSuXIM8B1gaeosklSwNcD7hwZ6v5o6iJSKxVqaAqVyJQPeC3wK6EocR5Im0/+Qj17flTqINNUs1tIkK5Ur+wHfAJ6bOoskTZHVwLuGBnq/mTqINJUs1tIkeuknvvT84YcXfQtYmDqLJCXwNeAdQwO9G1MHkaaCxVqaBH2D/V3AZ6pV3rLpt6feX10/+/DUmSQpkcuAV7qpjFqBy+1JBesb7D8U+A3wnixjZvfSCzLatq5NnUuSEjkOuLRUrrwodRBpsjliLRWob7D/ZeR/+pw7+v5tG6aft+nqM09Nk0qS6kIV+CTwp0MDvdtSh5Emg8VaKkBt6sffAH+0o2O23nfwOVvuWLJi6lJJUl36BfC7QwO9q1IHkYpmsZYmqDb14wfAM3Z2XLXKls3x+LhtzcLlU5NMkurWncDvDA30Xpg6iFQk51hLE9A32H8WcDG7KNUAWUZnV7h0Ph2bHpr0YJJU3w4Efl0qV96ROohUJEespT3UN9j/VuCLQOfuPK+6pevSjZc/81jI/MVWkuDbwNuGBnrXpw4iTZTFWtpNfYP97cAA8O49fY3hh/f51eabjj2rsFCS1NiuAV4xNNB7Q+og0kQ4Yibthr7B/jnAT5lAqQZom3f/ivYF91xSTCpJanjLgYtL5crLUweRJsIRa2mc+gb7DweGgCVFvF61ysObrjpzQ3XT9P2LeD1JahIDwAeHBnqHUweRdpcj1tI41C5SvIiCSjVAljG/e/nK1WTbNhf1mpLUBMrAv5fKlempg0i7y2It7ULfYP/bgJ8D84t+7ax9eGnXURddUPTrSlKDezHwy1K5sjB1EGl3OBVE2oHaRYqfA9412efacsfilVvvO+y0yT6PJDWYG4GzhwZ6b0kdRBoPR6ylMdQuUvxPpqBUA3QceMOx2fTVN03FuSSpgRwJnFcqV3a5V4BUDyzW0nb6BvuPAC4Anj9V58wypncvvaCdtq2PTdU5JalB7AP8qlSunJ06iLQrFmtplL7B/jOAC4GjpvrcWVv10O7l510z1eeVpAYwExgqlSuvTx1E2hmLtVTTN9h/NvA/TMJFiuPV1rP+lM6Drz0n1fklqY51AF8vlSsfTR1E2hEvXpSAvsH+V5Jvq9uVOku1ypbN8fjrt61ZeHTqLJJUp74MvNO1rlVvHLFWy+sb7H898D3qoFQDZBmdXeGShXRsWpU6iyTVqbcDPyqVK9NSB5FGs1irpfUN9r8T+FegPXWW0bKM/XqOXnkHVLelziJJdaoX+N9SubIgdRBphMVaLatvsP8jwD8AWeosY8k6Nx/XdcTlv06dQ5Lq2CnAylK5ckjqIBJYrNWi+gb7PwV8InWOXWmb98CK9gV3X5w6hyTVsQCcXypXjk0dRPLiRbWUvsH+DPgC8Ieps4xXtcojm646c1110/QDUmeRpDq2GnjO0EDvJamDqHU5Yq2WUdui/Os0UKkGyDLmdS9fuYZseFPqLJJUx+YAPy+VK09PHUSty2KtltA32N8FfB94XeoseyJrH17aveSiC1PnkKQ6Nw/4f6VyxeVKlYTFWk2vb7B/GvAfwMtTZ5mItpmrz+zY7+aVqXNIUp1bQL5ayNLUQdR6LNZqan2D/bPJd1N8fuosReg44MZjs+mrb0ydQ5Lq3F7k5TqkDqLWYrFW0+ob7J9BXqrPSJ2lKFnG9O6lF3TQvmVN6iySVOf2BX5ZKleOSB1ErcNiraZUm1P9E+Dk1FmKlrVVD+1edt61qXNIUgNYRF6uD00dRK3BYq2mU1v94zvAc1NnmSxtPRtO7jz4t+ekziFJDeBA8nJ9UOogan4WazWjrwCvSB1isrXvfedpbXMevCp1DklqAIeQl+v9UwdRc7NYq6n0Dfb/NfDm1DmmQpbR0bX40r3p3PRg6iyS1AAOJy/X+6UOouZlsVbT6Bvs/wjw/tQ5plKWsW/P8pV3QXU4dRZJagCLyVcL2Tt1EDUni7WaQt9g/9uBT6TOkULWufnYriMvPzd1DklqEEvIy/XC1EHUfCzWanh9g/2vBr6YOkdKbXMfWNG+8K6LUueQpAaxnHyHxvmpg6i5WKzV0PoG+18IfJMWfy9nGVnnodcszrrX3Zk6iyQ1iGOAoVK50p06iJpHS5cRNba+wf7TgR8Cnamz1IMsY2738vPWkg1vSp1FkhrEqcC/pg6h5mHIycKOAAAgAElEQVSxVkPqG+x/OvBTYFrqLPUkax9e0r3kIqeESNL4vaZUrnw8dQg1B4u1Gk7fYP+R5FuVz0mdpR61zVx9Rseim3+TOockNZA/LZUrr00dQo0vq1arqTNI49Y32L8PcCFwcOos9axaZcOma0++s7pu7uLUWSSpQWwCnjM00OvAhPaYI9ZqGH2D/V3Aj7FU71KWMa17yYVdtG9ZkzqLJDWIbuAnpXLl8NRB1Lgs1mokXyK/0ETjkLVVD+ledt61qXNIUgNZCPxnqVyZmzqIGpPFWg2hb7D/XcCbUudoNG09G07uPOSac1LnkKQGEoAflcoVV5zSbrNYq+71DfY/GxhInaNRte9112ltcx64MnUOSWogzwL+MXUINR6Ltepa32D/4cD3gY7UWRpVltHRtfiyfenc+GDqLJLUQN5SKlf+OHUINRaLtepW32D/LOA/ALecnaAsY5+e5Svvhupw6iyS1EA+XSpXXpY6hBqHxVp1qW+wvw34NrA0dZZmkXVueXrX4svOTZ1DkhpIBnyrVK4cnzqIGoPFWvXqL4FS6hDNpm3OgyvaF97lzoySNH7Tgf8olSsHpg6i+ucGMao7fYP9rwa+mzpHs6pWWb3p6jNWVzfOOCh1FklqIFcBpw0N9K5NHUT1yxFr1ZW+wf7jgK+lztHMsow53cvOW082vDF1FklqIE8D/il1CNU3i7XqRm278n8HpqXO0uyy9uGjupdeeHHqHJLUYF5TKlfenDqE6pfFWnVh1HblzmGbIm0z1pzRseim36TOIUkN5u9L5YoX1mtMFmvVi7/F7cqnXMf+Nz0jm/FoTJ1DkhrIdGCwVK7411U9hcVayfUN9r8U6E+doxVlGdO6l1zYQ/uW1amzSFIDWU4+ICQ9icVaSfUN9i8C/jl1jlaWtVUP7l5+3vWpc0hSg3lbqVzpSx1C9cVirWT6Bvsz4JvAgtRZWl1b94aTOg+55lepc0hSg/lqqVw5NHUI1Q+LtVL6APDs1CGUa9/rrjPa5j5wZeocktRAZpPPt+5MHUT1wWKtJPoG+58B/FXqHHpCltHedeRl+9G58YHUWSSpgZwAfCp1CNUHi7WmXN9g/wzgO4C/4deZLGPvnuUr74HqcOosktRA3lcqV16YOoTSc0tzTbm+wf5/Blxgv44NP7rwV5tvOP6s1DmknRnevI6Hbvh/rHvgOrZuXEPn9PnMPuB45h12Bllb++PHrb7jIu6/6odjvkbP3IM46PR3Pv752vt+y4PX/pStmx6jZ+6B7L38pXTP2ucp5731l59mQTibeYeeNjlfnBrRKuCYoYHee1IHUTqOWGtK9Q32vxJLdd1rn7vqrPa97rwwdQ5pR7Zt3cid532JR29bSdesfZh7yKm0dfSw6vr/4p5LvsnoQaNNa+4FYN7hZzH/yOc86WPOQSc8ftzWjau597Jvk7V1MPfgk9iybhV3X/QvbBve8qRzP3zT/9HWMY05B500NV+sGsVC4NulcsVu1cI6UgdQ6+gb7D8Q+KfUOTQ+nYf89qhtj827vbpx5sGps0jbe/im/2Pz2gfYa9lLmHfo6Y/ff+9l3+Gxe65g3QPXM3OfJUBerNs6p7PXkp3/pX7N3ZdT3TbMASe/hY6eOczc72ncufKLrHvgembtdzSQl+9HbzufvZa9hLZ2/xeqpzgL+Bjw8cQ5lIi/VWlK9A32twH/BsxLnUXjk2XM6V52/kay4Y2ps0jb27L+ETp65jL34FOedP+sRccAsPGR2x+/b9Nj99E9a99xvWZ79ww6euYA0D17Ue3+hx8/5qEbf0lHz2zmHHj8hL8GNa2PlcqVFalDKA2LtabKhwD/Q9Ngsvbh0L30wotT55C2t99xv8thz/nIk+ZSA2xe+yAA7d2zANiy4VG2bVlP9+z9dvma7Z3T2LZ18+PTSLZt3QRAW0dP/lrrH2b1HRexYPFzn3JeaZR24DulcmV+6iCaev4dS5Oub7D/RPyzWMNqm7HmjI79b/zN1ruPPH3XR0tTr1qtMrx5HWvvvYqHbvg5HdPmMnv/Y4En5ldXq8PcffE32PjIbWwb3sK0+YewYPHzmDbvoMdfp2feQVRv2syjt61kzoEn8MjNvwIyps3LZ0M9dMMv6JqxkFn7P32qv0Q1nkXkW56/LnUQTS1XBdGk6hvsnwlcARyeOov2XLXKxs3XnXTbtrXzjkqdRdreqvg/PHzj/wLQ3j2TA095O10z9wbyudirrv8ZANP3Wkz37EVsWbeKtfdfS5ZlLDr+DczYOzz+Wndf9K+se+C6xz+fd9gK9lr6IjavfYDbzvkc+x37u8xa9DQAqtVtZJl/+NVOvXBooPdnqUNo6lisNan6Bvv/Hvij1Dk0cdVt2R0bL3/WHIY756TOIo22+s6L2bz2wbww3/db2rums/9Jb6ZnzgE8dOMvWX3HhSwMz2f2Acc9/pz1D93MXRd8lfauGRz6rA/R1p4vq1+tVll3/7VsXreKnrkHMX1Bvlv1PZd+iy3rVnHQGe9my/qHuO/y77Hx0Tvp6JnDXktf/HjZlrZzJ7BsaKD3sdRBNDX8VVuTpm+w/3jgHalzqBhZW/Wg7uUrI/jbuOrLnANPYK8lL2TR8a9j0QmvZ3jzeu67YpBqtcqCI5/FYc/+8JNKNcD0BYcze/9jGd70GBseuuXx+7MsY+a+y5h/+IrHS/XG1few9t6rWRCeT5Zl3Hf5d9k2vJn9T3wjM/ZZyr2Xf+fxud3Sdg4EPpM6hKaOxVqTom+wv518aT3fY02krXvjiZ2HXnNO6hzSjszcZynTFx7B5sfuZ8v6h3Z6bPfs/QHYsuHhnR73UPxveuYdxMx9lrBpzb1sfPROFh51NjP2Poq9l5Vo75zG6jtc9l079PZSuXJm6hCaGpYeTZZ3AcemDqHitS+8+4y2ufdfkTqHWld12zDrHryRdQ/eMObjHdPmAvkOiRtX38X6USPST36dfOOXrK1zh+fa8MjtrHvgehaG5wGwed0qALpmLKw9t53O6QvYvG7nJV4tLQP+uVSuTEsdRJPPYq3C1TaC+YvUOTQ5soz2riMv35/OjfenzqLWdc/F/8p9l3+XanXbUx7LVwLJ6Jw+n3su/iZ3nf8Vhjeve8pxGx6+FYCeOQfs8Dyrrv9vpi04nOkLj8zvqA7nN9ueOG912xayLJvAV6MWcCSujtUSLNaaDF8AZqYOocmTZezVc/TK+2Db1tRZ1HqytnZm7ruc4c3reOTmJ89MevS289m0+i5m7H0UHd2zmLXoaKDKqut/9qRtzh+75yrWPXA90+YfSvfssTePWb/qRjY8dDMLw/Mfv69zRr7ayMZH8w1ohjevZ/PaVXTWRrClnXhfqVw5bteHqZG5KogK1TfY/zLgx6lzaGoMr15wzuZ4ghv/aMpt2bCaO1d+ga0bV+fL6M3al01r7mH9qpvonD6fA0/tp6NnDsNbNnDnyi+yee0D9Mw9iGnzD2Hz2gdZ98D1+dJ8p/4hXTMWjHmOO37zBdo6p3HASW9+0v23n/t3bFm3itkHHM+Gh29l89r7OeSsD9A53f1AtEsXAycPDfQ+9U8tagoWaxWmb7B/FnAtsOO/q6rpbL516QXDDx50cuocaj1bNz7GQzf8D2vvv47hzevo6JnNzH2Xs+DIZ9PeNePx44a3bOChG37B2vuuYevGx2jvms6MvZewMDyPjp7ZY7722vuv5Z6Lv85BZ7zrKVNFtmx4lPuv+iEbHrqZjmnz2Gvpi5m5z9JJ/VrVVN45NND7xdQhNDks1ipM32D/3wLvTp1DU6taZfWmq09/tLpx5sGps0hSA1gDHDU00Htv6iAqnnOsVYi+wf5nAO9MnUNTL8uY073svE1kwxtSZ5GkBjAb+HzqEJocFmtN2Kg1q9tTZ1EaWfu2xd1LL7g0dQ5JahCvKpUrz0sdQsWzWKsI7wS80rnFtc147PSO/W84N3UOSWoQXyyVKz2pQ6hYFmtNSN9g/wHAX6bOofrQseiWE9tmPnJd6hyS1ACOAD6SOoSKZbHWRP0DMCt1CNWHLKO766iLZtK++dHUWSSpAfxxqVw5KHUIFcdirT3WN9j/HOClqXOovmRt1QO7l593A7jkkCTtQjf+1bepuNye9kjfYH8GXIJzq7UDW1ct+tWWW552VuocklTntgHHDg30XpU6iCbOEWvtqVdhqdZOtC+454y2efddnjqHJNW5NuDTqUOoGI5Ya7f1DfZ3AtcBh6fOovpWrfLgpitXDFc3T9s3dRZJqnPPHBro/VXqEJoYR6y1J96GpVrjkGXs1b185QOwbWvqLJJU5z6TOoAmzmKt3dI32D8T+FjqHGocWcfWp3WFS1emziFJde7EUrnyytQhNDEWa+2u9wH7pA6hxtI+56EV7XvfcUHqHJJU5z5RKlc6UofQnrNYa9z6Bvv3At6fOocaU+fB1y7NetbeljqHJNWxxcBbU4fQnrNYa3f8CW4Goz2UZczuXnbeFtqG16fOIkl17E9L5cqM1CG0ZyzWGpe+wf5DgbenzqHGlrVvO7J76fmXpc4hSXVsX/Jpl2pAFmuN118BXalDqPG1TV97escB8dzUOSSpjn2gVK4sTB1Cu89irV3qG+x/OvCa1DnUPDr2u/XEtpkPX5c6hyTVqVm4AldDslhrPD4NZKlDqHlkGd1dSy6eRcfmR1JnkaQ69fZSuXJo6hDaPRZr7VTfYP+zgOenzqHmk2XVA3qWr7wJ3P5VksbQBXwidQjtHou1duXTqQOoeWVdm07oPOyqc1LnkKQ69epSuXJs6hAaP4u1dqhvsP9s4ITUOdTc2hfce2bbvPtcKUSSnioD/ix1CI2fxVo78+HUAdT8soy2riOuOCjr2nBv6iySVIdKpXJlceoQGh+LtcbUN9h/CnBm6hxqDVnGwu7lK1eRbduSOosk1Zk24L2pQ2h8LNbaEUerNaWyjq1Hd4VLzkudQ5Lq0Otd17oxWKz1FH2D/cuAF6fOodbTPvvhFe373H5+6hySVGemAe9IHUK7ZrHWWD6I61Yrkc6DrlueTXvs1tQ5JKnOvKNUrvSkDqGds1jrSfoG+w/GXRaVUJYxq3vZ+VtpG16fOosk1ZG9gNelDqGds1hre+8DOlKHUGvL2rYd2b30/MtT55CkOvO+UrniX5TrmMVaj+sb7J8LvCl1Dgmgbfra0zoOjOemziFJdSQApdQhtGMWa432VmBm6hDSiI59bz2pbdbD16bOIUl15P2pA2jHsmq1mjqD6kDfYH8HcAtwYOos0mjVanbXxsufOYOtXfNSZ5GkOnHi0EDvxalD6KkcsdaIV2KpVh3KsuoBPctX3gyOAkhSjaPWdcpirRHvSx1A2pGsa9PxnYdfdU7qHJJUJ15RKlcOSR1CT2WxFn2D/acBJ6TOIe1M+/x7z2yff++lqXNIUh1oB96TOoSeymItcLRaDSDLaOs8/MpDsq4N96bOIkl14M2lcmVu6hB6Mot1i+sb7N8P6E2dQxqPLGNB9/KVD5Ft25I6iyQlNhN4e+oQejKLtV5P/iclqSFkHVuXd4WLz0udQ5LqwB+VyhU3dasjFmu9MXUAaXe1z35kRfs+t1muJbW6RcDZqUPoCRbrFla7aHFx6hzSnug86PqnZdPW3JI6hyQl9rrUAfQEi3Vrc7RaDSvLmNm97IIqbVvXpc4iSQm9pFSuuIFWnbBYt6i+wf7pQF/qHNJEZG3bDu9edv4VqXNIUkLdwKtSh1DOYt26fgeYlTqENFFt09ad1nHg9b9OnUOSEnI6SJ2wWLcup4GoaXTse9vJbbMf+m3qHJKUyCmlcsVrpuqAxboF9Q32HwacmTqHVJQso6srXDKXjs0Pp84iSYk4al0HLNat6Y1AljqEVKQsq+7fs3zlLVDdljqLJCXwe6Vyxf+3J2axbjF9g/1t5JvCSE0n69p0fOfhVzrfWlIrOhg4K3WIVmexbj3PBg5MHUKaLO3z7zuzff49l6TOIUkJOHCWmMW69bwpdQBpMmUZbZ2HX3VY1rX+ntRZJGmKvaJUrsxIHaKVWaxbSN9g/1zgpalzSJMty5jfvfy8R8i2bU6dRZKm0Ezg5alDtDKLdWt5DdCTOoQ0FbKOrcu6jrr4/NQ5JGmKOR0kIYt1a3lD6gDSVGqf9ciKjn1vPS91DkmaQs8slSsHpA7RqizWLaJvsP8A4MTUOaSp1nFgPCabvubm1DkkaYq0Ab+fOkSrsli3jpekDiClkGXM6F56AbRtXZs6iyRNETeLScRi3Tp6UweQUsnath3evez8q1LnkKQpclSpXDk+dYhWZLFuAX2D/bNx0Xi1uLZp607tPOg6N4+R1CpKqQO0Iot1azgb6EodQkqtfZ/bT2mbveqa1DkkaQq8KHWAVmSxbg1OA5GALKOzK1w6n45ND6XOIkmT7LhSubJv6hCtxmLd5PoG+zuAF6bOIdWLLKsu6jl65W1Q3ZY6iyRNogx4QeoQrcZi3fxWAHNTh5DqSda5+RldR1zhfGtJzc7pIFPMYt38XGZPGkPbvPtXtC+455LUOSRpEj23VK50pg7RSizWzc/51dIYsoys87CrDsu619+dOoskTZLZwOmpQ7QSi3UT6xvsPwY4OHUOqV5lGfO7l69cTbZtc+oskjRJnA4yhSzWzc3RamkXsvbhpV1HXXRB6hySNElcwGAKWaybm8VaGof2WY+e2bHvrStT55CkSbCkVK4cmjpEq7BYN6m+wf4DgONS55AaRceB8enZ9DU3p84hSZPAUespYrFuXq4GIu2GLGNG99ILMtq2rk2dRZIK5jzrKWKxbl4vTh1AajRZ27bDupefd3XqHJJUsGeWypVpqUO0Aot1E+ob7G/H5XWkPdLWs/6UzoOvdfMYSc2kB3hW6hCtwGLdnI4BZqUOITWq9r3vOKVt9ipHriU1E6eDTAGLdXM6I3UAqZFlGZ1d4ZKFdGxalTqLJBXECxingMW6OVmspQnKMvbrOXrlHVDdljqLJBXg4FK5six1iGZnsW5OFmupAFnn5uO6jrjc+daSmsWZqQM0O4t1k+kb7F8M7J06h9Qs2uY9sKJ9wd0Xp84hSQU4KXWAZmexbj6OVksFyjKyzsOuPiLrXn9X6iySNEEnpw7Q7CzWzcdiLRUsy5jXvXzlGrLhTamzSNIELC6VK3NTh2hmFuvmY7GWJkHWPry0e8lFF6bOIUkTkAEnpg7RzCzWTaRvsH8RcFjqHFKzapu5+syO/W5ZmTqHJE2A00EmkcW6uThaLU2yjgNuODabvvrG1DkkaQ95AeMkslg3F4u1NMmyjOndSy/ooG3rY6mzSNIesFhPIot1c7FYS1Mga6se2r38vGtS55CkPbCgVK4ckTpEs7JYN4m+wf65wPLUOaRW0daz/pTOg397TuockrQHnGc9SSzWzeM0/HlKU6p97ztPa5vz4FWpc0jSbnI6yCSxiDWP01IHkFpNltHRtfjSvenc9GDqLJK0GxyxniQW6+ZxTOoAUivKMvbtWb7yLqgOp84iSeN0TKlc6UkdohlZrJvHstQBpFaVdW4+tuvIy89NnUOSxqkTODZ1iGZksW4CfYP9s4CDUueQWlnb3AdWtC+866LUOSRpnJwOMgks1s1hGfk2pZISyTKyzkOvWZx1r7szdRZJGgcvYJwEFuvm4DQQqQ5kGXO7l5+3lmx4U+oskrQLjlhPAot1c3D9aqlOZO3DS7qXXOSUEEn17uBSubJX6hDNxmLdHByxlupI28zVZ3Tsd/NvUueQpF1YnDpAs7FYNwdHrKU603HAjc/IZqy+MXUOSdoJtzYvmMW6wfUN9s8D9kudQ9KTZRnTupdc0En7ljWps0jSDhyZOkCzsVg3PkerpTqVtVUP6V523rWpc0jSDlisC2axbnzOr5bqWFvPhpM7D/ntOalzSNIYnApSMIt143PEWqpz7XvdeVrbnAeuTJ1DkrbjiHXBLNaNz2It1bkso6Nr8WX70rnxwdRZJGmUWaVyZZ/UIZqJxbrxORVEagBZxj49y1feDdXh1FkkaRSngxTIYt3A+gb79wEWps4haXyyzi1P71p82bmpc0jSKE4HKZDFurE5Wi01mLY5D65oX3iXOzNKqhcW6wJZrBvbYakDSNo9WUbWeeg1IetZd0fqLJKEU0EKZbFubItSB5C0+7KMOd3LzltPNrwxdRZJLc8R6wJZrBvb/qkDSNozWfvwUd1LL7w4dQ5JLc8R6wJZrBubxVpqYG0z1pzRseim36TOIamlueRegSzWjc2pIFKD69j/pmdkMx6NqXNIamlOBymIxbqxOWItNbgsY1r3kgt7aN+yOnUWSS3LYl0Qi3WD6hvs7wT2Sp1D0sRlbdWDu5edd13qHJJalvOsC2Kxblz7AVnqEJKK0daz4eTOQ645J3UOSS3p0NQBmoXFunE5DURqMu173XV629wHrkydQ1LLWZA6QLOwWDcui7XUZLKM9q4jL9uPzo0PpM4iqaXMTx2gWVisG5crgkhNKMvYu2f5ynugOpw6i6SW4Yh1QSzWjcsRa6lJZZ1bnt61+NJzU+eQ1DIcsS6IxbpxWaylJtY+d9VZ7XvdeWHqHJJawuxSudKeOkQzsFg3LqeCSE2u85DfHpX1rL09dQ5JTS/DUetCWKwblyPWUpPLMuZ0Lzt/I9nwxtRZJDU9i3UBLNaNyxFrqQVk7cOhe+mFF6fOIanpWawLYLFuQH2D/TOAmalzSJoabTPWnNGx/41ezChpMrkySAEs1o1pRuoAkqZWx6KbT8hmPBpT55DUtByxLkBhxTqEMHs3jn1mUedtUdNTB5A0tbKMnu4lF/bQvmV16iySmpLFugBFjlhfFUI4c2cHhBCmhRC+CPyiwPO2Iou11IKyturB3ctXXg/VauoskpqOU0EKUGSxPgj4ZQjhMyGEzu0frJXuq4F+wCvcJ8ZiLbWotu6NJ3Uees2vU+eQ1HQcsS5AkcX694E1wPuBi0IIy+DxUeq/A34JHAb8HDi6wPO2Iou11MLaF959etvc+69InUNSU7FYF6CwYh1j/DawFPgZcAxwcQjhk8CVwB8Bq4DXxhjPjjHeWtR5W5TFWmphWUZ715GX70/nxvtTZ5HUNJwKUoBCVwWJMd4XY3wx8GagE/ggcDjwH0CIMX63yPO1sGmpA0hKK8vYq+folffBtq2ps0hqCo5YF6Dw5fZCCMcBbwfagSr5NpnPAd4aQnB5v2I4Yi2JrGPLMV3h0pWpc0hqCo5YF6DI5fZmhhD+FrgQOAH4DXAU8E7ygv0Z8ukhxxV1zhZmsZYEQPuch1a073XHBalzSGp4c1IHaAZFjiBfRz6XejPwXmBFjPGmGOM/Ak8Dfg0cC1wYQvhcgedtRRZrSY/rPOTaJVnP2ttT55DU0NpTB2gGRRbr/YHzgWNijH8XY3x8ndUY460xxmcC7wI2Ae8u8LytyGIt6XFZxpzuZedtIhvekDqLpIZlsS5AkcW6DJwRY7xpRwfEGL/AE6PX2nMWa0lPkrVvW9y99IJLU+eQ1LAs1gXoKOqFYoyfH+dxtwBuaT4xrgoi6SnaZjx2esf+N5y79e7FZ6TOIqnhWKwLUFixHhFCWEi+3N4K4EDgf2KM7w8hfBS4KsY4VPQ5W5Aj1pLG1LHolhO2rd7r+m1r5x2VOoukhmKxLkChy9+FEF4I3AB8EjibfMOYvWsPvxr4dy9cLITFWtKYsoyerqMumkH7ltWps0hqKC6JXIAil9t7GvAjoAcYAJ5Hvob1iC8AjwDvDiG8tKjztiingkjaoaytemD38pURqtVdHy1JuVK54qj1BBX528nHyHdbLMUY/zjG+P9GPxhj/ArwXPI1rf+owPO2omzXh0hqZW3dG0/sPPRqLxSXtDss1hNU5BzrFcAFMcb/3dEBMcbLQwjnkk8R0Z7blDqApPrXvvCe07Oe9b+m2ubItaRdqm7qyaA3dYyGVmSxngXcP47jVuPuPhO1OXUASfUvy2hvn/XomalzSGoY/hI+QUVOBbkTODaEsMNpCiGEduC42rHac45YS5Kkog2nDtDoiizWPwEOBv5qJ8f8BfkOjS65NzEWa0mSVLRtqQM0uiKngnwKeCXwoRDCc4FzavcfHkL4CPAC4FTgXuAzBZ63FVmsJUlSkarff9WXnAoyQUXuvPhoCOEs4DvAacDxtYdOqX0AXAm8Osb4YFHnbVEWa0mSVCSngRSg0J0XY4x3AmeEEE4i37b8QPKlW+4Ffh1j/L8iz9fCLNaSJKlIFusCFL6lOUCM8ULgwhDCfOAlwHygazLO1aIs1pIkqUjOry7AhIt1COFdwNuA/4kxlkfd/2LyaSEzRt13DfCSGOPtEz1vi3O5PUmSVCRHrAswoVVBQgjfBD5PvuHLPqPuPwz4PjATuIn8YsUKsBz4RQiheyLnlSPWkiSpUI+lDtAM9rhYhxBeCPwecDf5dI+3jHr4z4Ae4BbghBjjR2KMLwc+ChwB9O9xYoHFWpIkFeuR1AGawURGrF9HPh/nRTHGn8YYNwKEEDqAl5Lv3vO5GOOaUc/5G+Bh8mX5tOcs1pIkqUgW6wJMpFifAlweY7x6u/tPIt/eHOCnox+IMW4FLgLCBM4ri7UkSSqWxboAEynWewNjXYS4onZ7W4zxjjEeX8MTxVt7xmItSZKK9GjqAM1gIsV6IzBtjPtXkE8DOWeMxwD2xd+KJspiLUmSimQ3K8BEivUtwJLRd4QQZgFn1j79+fZPCCHMJp8qcvMEzqv8lxpJkqSiWKwLMJFi/V/AwSGEN466751AN7Ce7eZX13ycfKOYp5Ru7ZaHUweQJElNxWJdgIlsEPN54B3AV0MIryKf/vG82u1nY4xrAUIIGfC0/9/enYfJVdf5Hn93FrKQjYQlYZO9ABVE0Dui4wIqOIOjjtc6Cq7jWup1u9eZ6z5XR2eUURSuHB5QETesoyM4yKKCwigIIsoOhwDZ93RCOp2ku9PL/MkA4OQAACAASURBVHEqIYGs3af6V3XO+/U89TSprq7+VHiSfOrX3/P7NR77LrIZnotHElqsCh1AkiQVisU6B8NesU7TdA3wCmAhWaE+C+gAvgt8cZuHngH8maxU9wDnpWm6erjfV0C2Yu3Ro5IkKS8W6xyM6OTFNE3vAo4FXgZEwAlpmr4zTdNtS98ystMXrwBOTdP0+pF8T0ESxYNAZ+gckiSpMNwVJAcjGQUBIE3TAXa+Awhpmj6I+1Y3wyrggNAhJElSIbhinYMRrVgrKOesJUlSXizWObBYty/n1CVJUl4s1jmwWLcvV6wlSVIeNidRvCF0iCKwWLevZaEDSJKkQvDCxZxYrNvX0tABJElSIThemhOLdftaEjqAJEkqhHmhAxSFxbp9uWItSZLy8HjoAEVhsW5frlhLkqQ8uGKdE4t1m0qieDXQFzqHJElqe65Y58Ri3d4cB5EkSSNlsc6Jxbq9WawlSdJIOQqSE4t1e5sfOoAkSWprq5MoXh86RFFYrNvbw6EDSJKktuZqdY4s1u3todABJElSW3O+OkcW6/ZmsZYkSSNhsc6Rxbq9zQUGQoeQJElty1GQHFms21gSxX34TlOSJA2fPSJHFuv25ziIJEkaLot1jizW7c9iLUmShqMfWBQ6RJFYrNufxVqSJA3HoiSK+0OHKBKLdftzL2tJkjQcjoHkzGLd/lyxliRJw3Ff6ABFY7Fuc0kUdwFLQ+eQJElt567QAYrGYl0MrlpLkqS9ZbHOmcW6GJyzliRJe6MbSEOHKBqLdTG4Yi1JkvbGPUkUD4YOUTQW62KwWEuSpL3hGEgTWKyL4cHQASRJUluxWDeBxboAkiheDiwMnUOSJLUNi3UTWKyL47bQASRJUlvYiBsfNIXFujgs1pIkaU/ck0TxQOgQRWSxLg6LtSRJ2hOOgTSJxbo47gE2hA4hSZJansW6SSzWBZFEcT9wZ+gckiSp5f05dICislgXi+MgkiRpV3pwm96msVgXi8VakiTtyj2Nn3KrCSzWxfIHYCh0CEmS1LKcr24ii3WBJFG8BkhD55AkSS3Ln243kcW6ePwDI0mSdubG0AGKzGJdPBZrSZK0I/clUbwidIgis1gXj8VakiTtiKvVTWaxLp6HgTWhQ0iSpJZjsW4yi3XBJFE8BNweOockSWopfcAtoUMUncW6mG4NHUCSJLWU25Mo3hA6RNFZrIvpV6EDSJKkluIYyCiwWBfTXcDy0CEkSVLL+HXoAGVgsS6gxpz1daFzSJKklrAOuDN0iDKwWBfXL0IHkCRJLeHmJIoHQocoA4t1cf0a6A0dQpIkBecYyCixWBdUEsXduK2OJEnywsVRY7EutmtDB5AkSUEtSqI4DR2iLCzWxeactSRJ5eZq9SiyWBdYEsWPAw+FziFJkoKxWI8ii3XxuWotSVI59QO/DB2iTCzWxWexliSpnG5MorgzdIgysVgX323A2tAhJEnSqEtCBygbi3XBJVHsj4EkSSqfzcBVoUOUjcW6HBwHkSSpXH6VRPEToUOUjcW6HK4HPMpUkqTycAwkAIt1CSRRvIZs1lqSJBVfL3B16BBlZLEujytDB5AkSaPil0kUd4UOUUYW6/L4Mdk7WEmSVGyOgQRisS6JJIrX4kWMkiQVXQ/wn6FDlJXFuly+FzqAJElqquuTKF4fOkRZWazL5XpgVegQkiSpaeqhA5SZxbpEkijejBcxSpJUVBtx7DMoi3X5OA4iSVIxXZtE8YbQIcrMYl0ySRTfBTwQOockScqdu4EEZrEup++HDiBJknLVDVwbOkTZWazL6QfAYOgQkiQpN1cmUbwpdIiys1iXUBLFS4CbQueQJEm5uTh0AFmsy8yLGCVJKobbkyi+O3QIWazL7Gdk81iSJKm9xaEDKGOxLqkkijcCPw2dQ5IkjUgnHgrTMizW5eY4iCRJ7e3yJIp7Q4dQxmJdbjcDj4YOIUmShmUIuCR0CD3JYl1iSRQPAd8InUOSJA3Lr5Iofix0CD3JYq3LgSdCh5AkSXvNixZbjMW65JIo3gBcFjqHJEnaK4uAX4QOoe1ZrAVwIdAfOoQkSdpjlyZRPBA6hLZnsRZJFC/GrfckSWoXm4FvhQ6hp7NYa4uvhQ4gSZL2yFVJFC8PHUJPZ7EWAEkU3wncGjqHJEnaLS9abFEWa23LVWtJklrbQ0kU3xw6hHbMYq1tXQ3MCx1CkiTtlOdPtDCLtbZKoniQbIcQSZLUehaTnT+hFmWx1lN9G+gKHUKSJD3Nl5Mo7gsdQjtnsdZ2kihej1v4SJLUapbjv88tz2KtHbkQcNN5SZJax/lJFPeEDqFds1jraZIoXgD8LHQOSZIEwCrgktAhtHsWa+3M+aEDSJIkAL6aRPHG0CG0exZr7VDjwJhrQueQJKnk1gDfDB1Ce8ZirV35FDAUOoQkSSX29SSKu0OH0J6xWGunkii+D/hx6BySJJXUOjxfoq1YrLU7nwX6Q4eQJKmELkyieF3oENpzFmvtUhLFj+IpT5Ikjbb1wNdDh9DesVhrT3we6A0dQpKkErk4ieI1oUNo71istVtJFC8G4tA5JEkqiY3AV0OH0N6zWGtPfQnwqmRJkprvkiSKV4UOob1nsdYeafwBd9ZLkqTm6ga+EjqEhsdirb3x72Qb1UuSpOb4chLFK0KH0PBYrLXHGlv++C5akqTmWIyz1W3NYq29dRGwLHQISZIK6FNJFG8KHULDZ7HWXkmieCPwxdA5JEkqmD8D3w8dQiNjsdZwXAbMDx1CkqQC+d9JFA+FDqGRsVhrryVR3Ad8MnQOSZIK4j+TKL45dAiNnMVaw5JE8ZXAb0LnkCSpzW0G/jF0COXDYq2R+ADQFzqEJElt7KIkitPQIZQPi7WGLYnih4Gvhc4hSVKbWg78v9AhlB+LtUbqC8CC0CEkSWpDn0iiuCt0COWnY2jIC1A1MtV67TXA1aFzqD2tvWc5q25fRM/KDYydMI59D5/OnJcfzYT9J299TOddS1n884d3+PWTD53Gse85beuv1z28iqU3PEp/dx+TD5nKIedUmHjAvtt9Tf+GPh76+h+YfeZRHPBXhzXnhUnSrt0BvMCdQIrFFWuNWBLFPwd+ETqH2s+yGx9j4X88yEBPP/s/7xCmHDmDdQ+vZu5lf6Jv7ZNnJPQs7wbggBcdzkEvPWK728xTD976uM1dvSxIHqBj7BhmnXYwvZ2bePx7dzO4eWC777vydwsYO3Ecs047ZHReqCRtbwj4X5bq4hkXOoAK40PAmcCk0EHUHjYu7mLl7xaw7xEzOOotJzNm/FgApp+4kgX1+1l+83wOf90JAGxa0c3YSeM4+JXH7PI51967nKGBQY5+23MYP20C0595II9edhddj3Qy45kHAln5Xn3nEg551bGMGefagqQgLk+i+M7QIZQ//1VRLpIongd8KXQOtY/Vf1wMwGF/d/zWUg0w/cQDmHnawUyY+eR7tJ4V3Uw8aMpun7NvbQ/j9t2H8dMmADBp9pSt92+x4pb5jJ86gZmnzMnldUjSXloHfCJ0CDWHxVp5Oh94JHQItYf1czuZeOCU7WapATo6Ojjs747noJccAUDfuh4GNvUzaQ+K9dhJ4xjsG2DLtSMDvdkIyNiJWXHvXbuJNX9eyuyXHUnHWP/6kxTEx5IoXhk6hJrDURDlJoni3mq99kHgV6GzqLVt7u6jf8Nmphw1k55VG1h+4+Osn7cWhoaYesxM5rzyGCbsl61Y96zI5quHBoeY96N72bhoHYObB5l82HTmnHkUkw+dtvV5Jx86ncG+Bay+YzEzT5nDqlsXQgdMPmw6ACt+O499Zk5mxrMPGv0XLUnwyySKvxM6hJrHJRvlKoniXwNJ6Bxqbf3re4Fs3nnupX+i74lNzDxlDvsePoN1D6zi0cZ9AJsaFy523rmEof5B9jtlDlOPnkn3vLU8+u276JrbufV5px+/P9OOm8XS6+Zy/xf/i1W3LuSA0w9n0kFT6Fm1gbX3rmD2GUfSMaYDyMq6JI2SLuDdoUOouVyxVjN8FHgVMDV0ELWmwb5sRGPDgifY7zmzOey1J2wtu6tuX8TS6+ay5Pq5HPmmk2AIxs+YyJwzj2K/k2dvfY7ueWt57Iq7WXT1Q5zwkRdsndM+4ryT6EpX09u5icmHTGPKETMAWP6beUw6aF+mn3gAvZ0bWfgfD7JxSRfjp03g4LOOZcazDhzl3wVJJfPxJIoXhQ6h5nLFWrlLongp8M+hc6iFdWQlmjEdHHz2sVtLNcD+zz+UffabyPpHOhnsG+CglxzBiR87fbtSDTDlyP3Y76SD6F/fR/f8J7Z56g6mH38AB77w8K2letOy9ax7cCWzzziKjo4OFv70QQY3D3DkeSczrbI/C376AL2rNzb/dUsqq5uSKL40dAg1n8VazXIhcHfoEGpNYydmPyzbZ8ZExk0ev93nOsZ0MHH2FIYGhuhb17OjL99q0pzshyJ9T+z6cctuepzJh05jWmV/Ni3vZuOSLmafeTTTjpvFIa86lnGTxtH5pyUjeEWStFPdwLtCh9DosFirKZIo7gfeCvSFzqLWs89+E2FMB0MDgzv8/NBANvs8ZvxYNi5dT/f8tTt83JaDX3a1H/WGhetY/0gns884CoDezmxlesKs7OLIjrFj2Ge/SfRucyCNJOXon5Ionh86hEaHxVpNk0TxfcDnQudQ6xkzfiyTD57K5nW9W4vuFkMDg/Qs72bs5PGMnzaB+Vfey2OX/4X+DU9/j7Zh4ToAJh2883H+5Tc9xpQjZzD16JnZ8zcuWNz2wsXB/kE66Njh10vSCNwMxKFDaPRYrNVs5wN/CB1CrWfmadlR5Euum7vdyvWq2xaxuauX/U6eTceYjuzExCFYduPjW/enBnji/pWsf6STfZ8xY6d7XK9/bA3d855g9plHb71vYmPf7I2LuwDo37SZ3s6N7DPLQ0Ml5Woj8E6PLS8XdwVRUyVRPFCt194K3ANM3t3jVR4zT5lDV7qarodWk158J9OOnUnPqo2sn9vJhFmTmf2yIwE46CVH0DW3kzV3LaVnRTf7Hj6d3tUb6Zrbybip+3BY49jzHVl+0+NMPXYW+x4+fet9k+ZMZdLBU1l6w1x6VnRnFz4ODjHreYc0/TVLKpVPJFH8eOgQGl0d264ASc1Srdc+APz/0DnUWoYGBll9x2I671pG39pNjJ00juknHMDsM47a7qLGgU2bWX7zfNY9uJL+7j7GTh7PtONmMfuMoxg/dcIOn3vdw6uZ/6N7OfZ9z2PyU0ZF+tb1sOjqh9kwfy3jZ0zk4LOOZfrx+zf1tUoqld8DL3a1unws1hoV1Xqtg+xExpeHziJJUhNtAk5Oonhu6CAafc5Ya1Q03rW/A9jx9g6SJBXDZyzV5WWx1qhJongx8N7QOSRJapLbgAtCh1A4FmuNqiSKfwJcHjqHJEk5WwOcm0TxjjfoVylYrBXChwB/TCZJKooh4K1JFC8IHURhWaw16pIo7gbOBTaHziJJUg6+kkTxtaFDKDyLtYJIovhPwGdD55AkaYT+C/hU6BBqDRZrhfQV4LehQ0iSNEwrgTclUTwQOohag8VawTQu8HgLsCJ0FkmS9tIgcF4SxUtDB1HrsFgrqCSKlwBvwHlrSVJ7+UISxTeGDqHWYrFWcEkU/w74aOgckiTtoRuBz4cOodbjkeZqGdV67TtkpzNKktSqlgKnJFG8MnQQtR5XrNVKasAfQ4eQJGknBoA3Wqq1MxZrtYwkinuBv8eLGSVJrenTjfFFaYcs1mopjYsZ/ydezChJai3XAl8OHUKtzWKtlpNE8e+Bj4TOIUlSw0KyI8u9ME27ZLFWS0qi+GLgO6FzSJJKrxt4bRLFa0IHUeuzWKuVvR+4I3QISVJpbblY8S+hg6g9WKzVshoXM74eL2aUJIXx4SSKrw0dQu3DYq2W5sWMkqRALkii+JuhQ6i9WKzV8hoXM344dA5JUmlcBfyf0CHUfjx5UW2jWq/FwPtC55AkFdofgZcmUbwpdBC1H1es1U4+APwsdAhJUmHNB15tqdZwuWKttlKt1yYANwAvDRxFklQsTwCnJ1H8UOggal+uWKutNHYKeQ1wd+gskqTC2Ay83lKtkbJYq+0kUdwFnA08FjqLJKkQ3p1E8W9Ch1D7s1irLSVRvAI4C/e4liSNzBeSKL4idAgVgzPWamvVeu05wC3AtNBZJElt54dJFL85dAgVhyvWamtJFN9NNnPdGzqLJKmt3AL8Q+gQKhaLtdpeEsU3A+cCg4GjSJLawx+Ac5Io7gsdRMVisVYhJFH8M6AWOockqeX9ETg7ieLu0EFUPBZrFUYSxZcCnwmdQ5LUsu4CXtnYXUrKnRcvqnCq9dpFwAdD55AktZS7gTOSKF4bOoiKyxVrFdGHgCtDh5AktYz7gJdbqtVsFmsVThLFQ8BbsVxLkuAB4MwkijtDB1HxWaxVSEkU9wNvBi4PnUWSFMzDZKV6VeggKgeLtQorieJB4J1AHDqLJGnUzSWbqfaEXo0aL15UKVTrta8BHw2dQ5I0Kh4HXpJE8eLQQVQurlirFJIo/hjwpdA5JElNNx94maVaIVisVRpJFH8K+GzoHJKkpllINv6xMHQQlZOjICqdar32ceAroXNIknK1iGyl+rHQQVRerlirdJIoPp9sr2vfVUpSMTwAnG6pVmgWa5VSEsUXAe8FBkNnkSSNyO+AFzlTrVZgsVZpJVF8GfB2YCBwFEnS8PwMeGUSxU+EDiKBxVoll0Tx94Fzgf7QWSRJe+Vi4A1JFPeEDiJt4cWLElCt114N/BiYHDqLJGm3Pp1E8RdDh5CeymItNVTrtVOBa4A5obNIknaoH3hvEsXfCR1E2hGLtbSNar12KPAL4OTQWSRJ29kIVJMovjZ0EGlnnLGWttG4qvxFZOVaktQaOskOfrFUq6VZrKWnSKK4G3gN8I3QWSRJzAdemETxHaGDSLvjKIi0C9V67f3AhcDY0FkkqYTuBv4mieJloYNIe8JiLe1GtV47C0iAaaGzSFKJ/AZ4XRLFXaGDSHvKURBpN5Io/iVwOrAgdBZJKomLgLMt1Wo3rlhLe6harx0E/Bz4H6GzSFJBbQLek0TxD0IHkYbDYi3thWq9NhG4AqiGziJJBTMP+Pskiu8OHUQaLkdBpL3QODr3jYAnfklSfm4ATrVUq925Yi0NU7VeOxe4FNg3dBZJalNDwJeAzyZRPBg6jDRSFmtpBKr12vHAT4Bnhc4iSW2mC3hrEsU/Dx1EyoujINIIJFH8MPB84Fuhs0hSG3kQeJ6lWkXjirWUk2q9dh5wCTAldBZJamE/Bd7ROOVWKhSLtZSjar1WITtM5qTQWSSpxQwAn0yi+Cuhg0jNYrGWctbYku8bwHtCZ5GkFrEaeGMSxTeFDiI1k8VaapJqvfZGsl1DpobOIkkB/Q54cxLFC0MHkZrNixelJkmi+MfAqYD7skoqo17gH4GXWqpVFq5YS03WGA25AHhf6CySNEruJVulvi90EGk0WaylUVKt16rAZcC00FkkqUkGgfPJDnzpCx1GGm0Wa2kUVeu1Y4ArgNNDZ5GknD0OvC2J4t+HDiKF4oy1NIqSKH4U+GvgI8CGwHEkKS/fAk62VKvsXLGWAqnWa0eSjYacGTqLJA3TCuDdSRRfEzqI1Aos1lJg1Xrt3cC/4+y1pPZyFfCeJIpXhw4itQqLtdQCqvXaIWTHoZ8TOosk7UYX8KEkiq8IHURqNRZrqYVU67XzyE5tnBU6iyTtwC1kFyguCB1EakVevCi1kCSKfwicCPwkdBZJ2sYa4D3AyyzV0s65Yi21qGq99jrgYmB26CySSu0K4ONJFK8KHURqdRZrqYVV67X9gK8Bbw8cRVL5PATUkii+JXQQqV1YrKU2UK3XziJbvT4qdBZJhbcJ+Bfg/CSKN4cOI7UTi7XUJqr12gTgw8CncGs+Sc1xDfCRJIofDx1EakcWa6nNVOu1A4HPA+8CxgaOI6kYHgE+nETxDaGDSO3MYi21qWq99mzgq8ArQmeR1LbWA18Avu7YhzRyFmupzVXrtXPITm6shM4iqW0MAT8A/imJ4mWhw0hFYbGWCqBar40HasDngJmB40hqbXeSzVHfFjqIVDQWa6lAqvXaTLJy/X5gXOA4klrL/cBnkyi+KnQQqags1lIBVeu1Ctn89d+GziIpuMfI3nBfmUTxYOgwUpFZrKUCq9ZrryA7YOZZobNIGnWLyC5MvDyJ4v7QYaQysFhLBVet18YCbwI+AxwXOI6k5lsJfAm4JIni3tBhpDKxWEslYcGWCm8tcD5wYRLFG0KHkcrIYi2VTKNgnwt8Ggu2VATdwAXAV5MoXhc6jFRmFmuppCzYUtvrAb4J/FsSxatDh5FksZZKr1qvjQFeD3wCOCVwHEm7twG4HPjXJIqXhg4j6UkWa0lbVeu1s4FPAn8dOoukp1kMXARclkTx2tBhJD2dxVrS01TrtReSrWC7D7YU3p1kM9Q/cds8qbVZrCXtVLVeOwn4GBABEwPHkcpkALgauCCJ4ltDh5G0ZyzWknarcVT6O4D3AccEjiMV2Xrg22Rb5s0LHUbS3rFYS9pj1XqtA3gF8H7gHGBs2ERSYcwHLgS+nURxV+AskobJYi1pWKr12mHAuxu32YHjSO3qNrL56auSKB4IHUbSyFisJY1ItV4bD7yWbBX7pWHTSG2hC0jIdvf4Y+gwkvJjsZaUm2q9dgLZHPbbgOmB40itZAD4NfA94OokijcFziOpCSzWknJXrdcmk53qWAOeGziOFNL9wBXAD5MoXhY6jKTmslhLaqpqvfZMsu36Ijw6XeWwCvgRcEUSxX8JHUbS6LFYSxo11XrtOTxZso8MHEfKUx9wDdnq9PUe5CKVk8VaUhDVeu35ZAW7ChwaOI40XHeQlel6EsVrQoeRFJbFWlJQjb2xTycr2W/ArfvU2gaB28lWp69KojgNnEdSC7FYSy2oUqnMB2akaTojcJRRVa3XxgAvBt4IvB7YP2wiCchOQ/wVWZm+LoniVYHzSGpRFmupBZW1WG+rWq+NA84AXk122mMlbCKVzHyyIn0NcEsSxX1h40hqBxZrqQVZrJ+uWq8dDryycTsTmBk2kQpmkGxe+hrgmiSK7w+cR1IbslhLLchivWuNkZFTebJovwAYHzSU2lE32494rAycR1Kbs1hLe6hSqXwXeDNwEPBvZMd4TwRuIzvOezHweeAtwBTgLuAjaZres81znAN8ADgNmAE8AdwK/HOapndv87j57KBYVyqVNwAfBU4iW2G7E/iXNE1/m/frbSfVem0K2XHqW4q2YyPakXVkf15vBX4P3J5EcW/YSJKKxGIt7aFGsX4L8AAwFriOrOC+EngYeBR4NvBzYA7ZDhdLgOPSNN1YqVQ+CFwEPNb42l7g+WQX660HKmmaLmt8r/k8pVhXKpXPA58hm/28FhhqfI8DgLelafqDZr32dtMYG3kF2f+bl5H9Hql8FpEV6C23+5MoHgwbSVKRWaylPdQo1m8jm8N8SZqmvY37byXbLm4ecHKapusb918OvB34G+A3wEpgOfDcNE03bPO8F5Md/f3eNE0vbdw3n22KdaVSeT7ZFl+3AH+bpunGxv2zGvcfDByRpqm7FexAtV57BvC8bW6nAtOChlLeBsne9G4t0kkULwwbSVLZjAsdQGpD8ZZS3XAbWbG+dEupbriDrFgfQbbC/W5g2baluuFmsmJ94C6+5z8AHcDHt5RqgDRNOyuVypeBy8gOWvnmMF5P4SVRvABYAPwUtu6dXWH7sv0cstEetYceslGoLUX6tiSKnwgbSVLZWaylvffoU369pSjPe8r9PY2PExplOAGoVCrHAScCRwPPItvhArLyvTOnNj6+vjGnva0tpxY+Z/fRBZBE8RDZ+M7DwPcBqvXaeLL/H9uW7Wfi35Oh9QNzyVaj7298fACY67HhklqN/2BIe++pK85b7PIiqEql8mLgAuC5jbt6gHvILnI8jGxFeme2zFr/3108xu3nRiCJ4s3AXxq3SwGq9dok4BSygn0McGzjdjQwKUzSwhoEHufJ8rzlY+oe0pLahcVaGgWVSuUZwA3AJuA9ZD+6fiRN04FKpRKR7TCyK93AADApTdPNTQ2rrZIo3kQ26nPbtvc3RkkOISvZxzzlo6V71zaRXdSbsn2Bfqjx+y1JbctiLY2O15KVrY+naXrZUz53QuPjrlas7yUb9TgF+OO2n6hUKn/VeP5r0zT9XT5xtSuNUZLFjdt2Wx0+pXRvKdzHALPJdic5AJg+mnlHUSdZaV7c+Ljkqb9OonhNuHiS1FwWa2l0bJm3PmjbOyuVyknAhxu/3NUBJ98F3gpcUKlUXpWmaVfj66cCMVnpviHPwBqeXZXuLRrz3Ps3blvK9q7+e39G/+/rfqBrJ7flPL04L02iuGfHTyVJ5WCxlkbHL8gOg/lkpVI5nmwv62OBc8gOrQCYtbMvTtP0t5VK5ULgQ8ADlUrlWrKZ7teRzWdfkqbpzc2Lrzw15rmXNW671VgFn0a2a8n4xm3cHvz3jj7XR/ZGb9NOPm4EuhzLkKS9Z7GWRkGapksqlcrLgX8l2wXkLLLt3y5s3DcXOLtSqXSkabrDzeXTNP1wpVK5k+yUx7eQrSimwOeAK5r/KhRKYxV8HU++CZMktSAPiJEkSZJyMCZ0AEmSJKkILNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4sFxDd6QAAAU5JREFU1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDizWkiRJUg4s1pIkSVIOLNaSJElSDv4bhNN6X0+ueEwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1166f0590>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 355,
       "width": 363
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1169c10d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 352,
       "width": 370
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_var_survived('Sex')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 等级对存活率影响\n",
    "- 所有人员中，等级分布情况：1等级占比24%；2等级占比21%；3等级占比55%\n",
    "- 存活比例情况：1等级存活比例约为65%；2等级比例约为45%；3等级比例约为25%\n",
    "\n",
    "结论：\n",
    "- 等级越高（1最高），存活率越高"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1160e6ed0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 355,
       "width": 363
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116478f10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 327,
       "width": 370
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_var_survived('Pclass')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 船票价格对存活率影响\n",
    "\n",
    "船票价格fare是连续变量，为便于统计，本文其分为3组后再统计\n",
    "（低价票：(0, 175]，中价票：(175, 350]，高价票(350, 525]）。统计情况如下：\n",
    "- 所有人员中，购买低价票有856人，中价票17人，高价票3人\n",
    "- 购买低价票存活率约为38%，中价票存活率约为65%，高价票存活率为100%\n",
    "\n",
    "结论：\n",
    "- 票价越高，存活率越高。但由于高价票与中价票样本数量过少，此结论并不可信。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11623e5d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 421,
       "width": 372
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1166fba10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 421,
       "width": 370
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 船票最高价512.329200\n",
    "colum = 'Fare'\n",
    "plt.figure(figsize = (6,6))\n",
    "fare_bins = np.arange(0, 530, 175)\n",
    "# print fare_bins\n",
    "df = titanic_df\n",
    "fare_cuts = pd.cut(titanic_df[colum], fare_bins)\n",
    "fare_grup = df.groupby(fare_cuts)\n",
    "# print fare_grup[colum].count()\n",
    "fare_grup[colum].count().plot(kind='bar')\n",
    "plt.title('Total percent of {}'.format(colum))\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "fare_cuts = pd.cut(df[colum], fare_bins)\n",
    "fare_grup = df.groupby(fare_cuts)\n",
    "# print fare_grup.head(n=1)\n",
    "survived_rate = (fare_grup.sum()/fare_grup.count())['Survived']\n",
    "# print survived_rate\n",
    "survived_rate.plot(kind='bar') \n",
    "# fare_grup[colum].count().plot(kind='pie', autopct='%.0f%%')\n",
    "plt.title('Survived percent of {}'.format(colum))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 分析结论\n",
    "\n",
    "经由上述统计，可以获得如下结论：\n",
    "- 女性存活率是男性多3倍还多\n",
    "- 等级越高（1最高），存活率越高。\n",
    "- 票价越高，存活率越高。但由于高价票与中价票样本数量过少，此结论并不可信。\n",
    "\n",
    "上述结论还在一些限制：\n",
    "- 由于我们获取的乘客记录只有891条，而总体记录是2224条。因此我们的推论并不准确，会有偏差。如果样本数据是从总体中随机抽取的，则上述结论有一定参考价值。\n",
    "- 人的存活概率跟许多因素相关，如：海上求生知识，身体素质，心理素质等等。而这些因素，这里没有考虑，也没有这些数据\n",
    "- 该结论是暂时的，需要进一步改进。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
